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Finding the Third Proportional to 323,687 and 490,028

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Solution

The third proportional to 323,687 and 490,028 is: 741,850.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,687 : 490,028 = 490,028 : x
  2. Step 2: Convert to fraction form
    323,687/490,028 = 490,028/x
  3. Step 3: Cross multiply
    323,687x = 490,028 × 490,028
  4. Step 4: Simplify right side
    323,687x = 240,127,440,784
  5. Step 5: Solve for x
    x = 240,127,440,784/323,687
  6. Step 6: Final answer
    x = 741,850.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.